TCS NQT Previous Year Numerical Ability Question Paper – 1

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Question1:

Find the smallest number that leaves respective remainders of 4,5,6, and 7 on division by 5,6,7, and 8 respectively?

Options:

- 841
- 839
- 2521
- 2519

Answer: Option B – 839

Question 2:

A number 452p36 is such that it is divisible by 36. What can the value of p^2 be?

Options:

- 36
- 25
- 49
- 16

Answer:- Option C the value of p=7 and p^2=49

Question 3:

Options:

- 3.25
- 4.5
- 5.5
- 6.5

Answer: Option D – 6.5

Question 4:

Let x be the least number which when divided by 12,15,18,20,27 and 30, the remainder in each case is 1 and x is a multiple of 47. The sum of the digits of x is:

Options:

- 13
- 11
- 9
- 10

Ans:- d) 10

LCM of 12,15,18,20,27, 30 is 540

Number should be divisible by 47 if we multiply k by 540 and add 1 then the number is divisible by 47

540k + 1/ 47

Put value of k as 1,2

For k=2

540 * 2 +1 = 1081 which is divisible by 47

1081/47=23

So the digit is 1081

Addition of digits = 10

Question 5: If M% of N is P, N is 60% more than M and P is 40% of M, find what % of N +P is M?

Options

- 30%
- 65%
- 50%
- 40%

Answer: Option C-50%

Question 6:

Options

- 59.59
- 61.79
- 62.19
- 53.89

Answer: getting 24.57 (Options provided are incorrect)

Question 7: The expenditure of Rashmi is equal to 225% of her savings. If her income increases by 20% and the expenditure increases by 40%, then her savings will __________.

Options

- Decrease by 25%
- Decrease by 20%
- Increase by 25%
- Increase by 33 ⅓ %

Answer: Option A

Question 8:

A business lady bought 400 handbags. She sold 100 of them at a profit of 20% and the rest at 10% profit. Find the overall profit percentage.

Options:

- 12.5%
- 16.75%
- 19.75%
- 11.25%

Answer:- 12.5%

Question 9: Simple interest on a sum of money after 32 months at 24 % rate of interest is Rs.7040. What is the compound interest upon 28 more sum at 20% rate of interest after 2 years?

- Rs. 6194.4
- Rs. 5575.4
- Rs. 6098.4
- Rs. 5447.4

Answer –

Question 10:Ifthen what is the value of (a+b)?

- 15
- 9
- 12
- 21

Answer: Option D

Question 11: An electronics item dealer can earn a profit of 5%, even after allowing a 30% discount. He wanted to clear his old stock, so he offered a scheme of three successive discounts of 12%. What could be his minimum profit % approximately?

Options

- 2
- 4
- 1
- 3

Answer: Option A

Question 12: A shopkeeper sells an item at Rs. 368.55 after giving a discount of 25% on its labeled price. Had he not given the discount, he would have earned a profit of 17% on its cost price. What is the cost price (in Rs) of the item?

- 400
- 450
- 380
- 420

Answer – Option D

Question 13: Adil shared 40% of his marbles with Banti and 50% of the remaining with Babli. Banti equally distributed 20% of his marbles between Adil and Babli and is left with 16 marbles. How many Marbles did Adil have originally?

Options

- 125
- 101
- 50
- 150

Answer:- Option C

Question 14:What is the value of k in the expression given below:

[2k – 40 x (28/35) + 48 – ( – 18) x (-2)] x (12 – 8) = (64/24) x 6 + 4

- 1.8
- 7.5
- 12.5
- 10.5

Answer- Option C

Question 15:

Sachin borrows Rs,53000 from a moneylender and promises to pay him the total amount after 6 months at the rate of 20 percent per annum simple interest.Due to non payment after 6 months, the moneylender calculates the simple interest at 30 percent per annum on the principal amount for the overdue period. Find the total amount to be paid by Sachin after 1 year.

Options:

- Rs.68570
- Rs.60420
- Rs.60000
- Rs.61760

Answer: getting 66250

Question 16:

A trader buys 120 m cloth at Rs 125 per meter. He sells 40% of it at a gain of 10% and 33 % of the remaining cloth at a gain of 15%. At what percent should he sell the remaining cloth so as to gain 25% in the entire transaction?

Answer: Option d

Question 17:

then the value of (x divided y) is

Option

- 2 1/6
- 3 1/3
- 6 2/3
- 2/15

Answer: Option A

Question 18:

The cost price of an article is Rs. X. Ambuj marks a new price on it and after allowing a discount of 20% on the newly marked price, he sells it for Rs. 1.2X. He sells a second article whose marked price is twice the marked price of the first article, at a discount of 50%. Find the ratio of the selling price of first article to the second article.

- 4 : 5
- 5 : 3
- 3 : 5
- 2 : 3

Answer – Option A

Question 19.

What is the area of the triangle ABC, where AB=10 cm, BC=10 cm and CA=16 cm?

Answer- Option D

Question 20:

Two persons were approaching each other at 12 km/hr and 24km/hr respectively. A train moving in the same direction as the faster man took 25 seconds to cross him and 15 seconds to cross the other one. Find the speed of the train(in km/hr).

Options:

- 45
- 66
- 78
- 60

Answer: Option C

Question 21:

If (a+b+c) = , (a+b+c) = , and (a+b+c) = , what is the value of c?

- 9 / 7
- 9 / 13
- 16 / 3
- 9 / 5

Answer – Option B

Question 22:

What is the value of ‘k’ in the expression given below?

Option:

- 121.2
- 123.5
- 124.6
- 115.7

Answer- Option A

Question 23:

In 75% of the time that B takes to do a piece of work, A does half the work. Together they take 18 days to complete the work. C alone can complete the same work in 24 days. All the three started the work together but B left 5 days before the completion of the work. In how many days was the whole work completed?

Options:

- 12
- 15
- 10
- 16

Question 24:

The speed of a boat upstream is 40% less than the speed of the boat downstream. It takes 13.5 hours to go 120 km downstream and 90 km upstream. How much time (in hours) will it take to go 90km downstream and 120 km upstream?

Question 25:

The value of is

Option:

- 0.001
- 0.0001
- 0.01
- 0.1

Answer – B.0.0001

Question 26:

Let x, y, and z be the mean, median and range, respectively of the following data:

10, 7, 12, 21, 37, 14, 19, 28, 18, 12, and 42.

What is the value of (x + y – z)?

- 2
- 4
- 7
- 3

Answer: Option d

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